Heading for Oberhausen with German miss (4)
I believe the answer is:
omit
'miss' is the definition.
('omit' can be a synonym of 'miss')
'heading for oberhausen with german' is the wordplay.
'heading for' suggests taking the first letters.
'with german' becomes 'mit'.
The initial letter of 'oberhausen' is 'o'.
'o'+'mit'='OMIT'
(Other definitions for omit that I've seen before include "Leave out or exclude" , "Leave out or undone" , "Neglect to include" , "Leave out or fail to do" , "Leave out, do not include (4)" .)